×

Non-relativistic quantum theory at finite temperature. (English) Zbl 1274.81181

Summary: We propose the non-relativistic finite temperature quantum wave equations for a single particle and multiple particles. We give the relation between energy eigenvalues, eigenfunctions, transition frequency and temperature, and obtain some results: (1) when the degeneracies of two energy levels are same, the transition frequency between the two energy levels is unchanged when the temperature is changed. (2) When the degeneracies of two energy levels are different, the variance of transition frequency at two energy levels is direct proportion to temperature difference.

MSC:

81T28 Thermal quantum field theory
PDFBibTeX XMLCite
Full Text: DOI arXiv

References:

[1] Matsubra, T., No article title, Prog. Theor. Phys., 14, 351 (1955) · Zbl 0067.18802 · doi:10.1143/PTP.14.351
[2] Fradkin, E. S., No article title, Dokl. Akad. Nauk SSSR, 98, 47 (1954) · Zbl 0057.21101
[3] Fradkin, E. S., No article title, Dokl. Akad. Nauk SSSR, 100, 897 (1955) · Zbl 0068.22703
[4] Bernard, C. W., No article title, Phys. Rev. D, 9, 3312 (1974) · doi:10.1103/PhysRevD.9.3312
[5] Fetter, A.L., Walecka, J.D.: Quantum Theory of Many Particle Systems. McGraw-Hill, New York (1971)
[6] Brillouin, L., No article title, C. R. Acad. Sci., 183, 24 (1926)
[7] Kramers, H. A., No article title, Z. Phys., 39, 828 (1926) · doi:10.1007/BF01451751
[8] Wentzel, G., No article title, Z. Phys., 38, 518 (1926) · doi:10.1007/BF01397171
[9] Bernard, C. W., No article title, Phys. Rev. D, 9, 3312 (1974) · doi:10.1103/PhysRevD.9.3312
[10] Dolan, L.; Jackiw, R., No article title, Phys. Rev. D, 9, 3320 (1974) · doi:10.1103/PhysRevD.9.3320
[11] Weinberg, S., No article title, Phys. Rev. D, 9, 3357 (1974) · doi:10.1103/PhysRevD.9.3357
[12] Dashen, R. F.; Ma, S.-k.; Rajaraman, R., No article title, Phys. Rev. D, 11, 1499 (1975) · doi:10.1103/PhysRevD.11.1499
[13] Harrington, B. J., No article title, Phys. Rev. D, 18, 2982 (1978) · doi:10.1103/PhysRevD.18.2982
[14] Dolan, L.; Kiskis, J., No article title, Phys. Rev. D, 20, 505 (1979) · doi:10.1103/PhysRevD.20.505
[15] Haseeb, M. Q.; Masood, S. S., No article title, Phys. Lett. B, 704, 66 (2011) · doi:10.1016/j.physletb.2011.08.057
[16] Lenaghan, J. T.; Rischke, D. H.; Schaffner-Bielich, J., No article title, Phys. Rev. D, 62 (2000) · doi:10.1103/PhysRevD.62.085008
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.